Surface States in Holographic Weyl Semimetals

Abstract

We study the surface states of a strongly coupled Weyl semimetal within holography. By explicit numerical computation of an inhomogeneous holographic Weyl semimetal we observe the appearance of an electric current restricted to the surface in presence of electric chemical potential. The total current is universal in the sense that it only depends on the topology of the phases showing that the bulk-boundary correspondence holds even at strong coupling. The implications of this result are subtle and may shed some light on anomalous transport at weak coupling.

arXiv comment7 pages, 6 figures. v2: citation added

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Cited by in corpus (20)

• Chiral hydrodynamics in strong external magnetic fields
• Quasinormal modes of charged magnetic black branes & chiral magnetic transport
• Conjecture on the Butterfly Velocity across a Quantum Phase Transition
• Axial Hall effect and universality of holographic Weyl semi-metals
• Topological nodal line semimetals in holography
• Topological invariants for holographic semimetals
• Detecting Topological Quantum Phase Transitions via the c-Function
• A smeared quantum phase transition in disordered holography
• Black hole interiors in holographic topological semimetals
• A Weyl-${\mathrm{Z}}_2$ semimetal from holography
• An improved holographic nodal line semimetal
• Thermodynamics and transport of holographic nodal line semimetals
• Weyl semimetal/insulator transition from holography
• Chiral vortical conductivity across a topological phase transition from holography
• Momentum relaxation in a holographic Weyl semimetal
• Momentum relaxation of holographic Weyl semimetal from massive gravity
• Non-equilibrium dynamics in Holography
• Topological phase transitions of semimetal states in effective field theory models
• Properties of gapped systems in AdS/BCFT
• Holographic Topological Semimetals